3D Pythagorean Theorem

What is the length of the pencil in the cylinder if the height is 12 inches and the diameter of the base is 10 inches?

• 15.6 in.

• 6.6 in.

• 44 in.

• 16 in.

Find the length of the slant height for edge AV. (HINT:The altitude height of the pyramid is 12 meters.)

• 10.9

• 13

• 169

Find the missing variable. Show your work. Round to the nearest hundredths place.

• 22.96

• 22.00

• 524.41

• 28.60

The composite figure shown was created using a cone and a hemisphere (half-sphere) that share the same base. Determine the radius and diameter of the composite figure. Round to the nearest tenth.

• radius: 24

  diameter: 48

• radius: 12

  diameter: 24

• radius: 6

  diameter: 12

• radius: 27.9

  diameter: 55.8

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON

What is the height of the cone? 

• 14 cm

• 8 cm

• 12 cm

• 13.9 cm

Determine the height of the cylinder. Round to the nearest tenths place.

• 7.4

• 11.5

• 14.3

• 11.0

• 14.6

A swimming pool has the dimensions shown. Use x to represent the length of the diagonal that goes from the bottom corner to the top corner at the opposite end of the pool, as shown by the diagonal dotted line. What is the value of x? 

• 31.3

• 32.3

• 33.3

• 64

What is the approximate length of c?

• 3

• 1.732

• 1

• 2.449

What is the approximate width of the base?

• 7 ft

• 5 ft

• 3 ft

• 2 ft